5 papers · 1 filter
The 2-Twist Spun Trefoil Has Crossing Number Six
Sherry Gong, Samuel Lewis-Monkman, Jesse Osnes
We study the tri-plane crossing number, that is, the minimal number of crossings in a tri-plane diagram for a bridge trisection of a knotted sphere in . We show that every 2-k…
Ribbon concordances and slice obstructions: experiments and examples
Nathan M. Dunfield, Sherry Gong
There are 352.2 million prime knots in the 3-sphere with at most 19 crossings. We study which of these knots are slice, in both the smooth and topological categories. While no algo…
Families of metrics with positive scalar curvature on spectral sequence cobordisms
Sherry Gong
We study families of metrics on the cobordisms that underlie the differential maps in Bloom's monopole Floer spectral sequence, a spectral sequence for links in whose i…
On the rank of knot homology theories and concordance
Nathan M. Dunfield, Sherry Gong, Thomas Hockenhull +2
For a ribbon knot, it is a folk conjecture that the rank of its knot Floer homology must be 1 modulo 8, and another folk conjecture says the same about reduced Khovanov homology. W…
On the Kronheimer-Mrowka concordance invariant
Sherry Gong
Kronheimer and Mrowka introduced a new knot invariant, called , which is a gauge theoretic analogue of Rasmussen's invariant. In this article, we compute Kronheimer a…